On Singular Localization of $\mathfrak{g}$-modules
Representation Theory
2013-09-23 v5
Abstract
We prove a singular version of Beilinson-Bernstein localization for a complex semi-simple Lie algebra following ideas from the positive characteristic case done by \cite{BMR2}. We apply this theory to translation functors, singular blocks in the Bernstein-Gelfand-Gelfand category and Whittaker modules.
Keywords
Cite
@article{arxiv.1011.0896,
title = {On Singular Localization of $\mathfrak{g}$-modules},
author = {Erik Backelin and Kobi Kremnizer},
journal= {arXiv preprint arXiv:1011.0896},
year = {2013}
}
Comments
22 pages, accepted for publication in JEMS